{"id":8046,"date":"2023-04-20T06:00:01","date_gmt":"2023-04-20T04:00:01","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=8046"},"modified":"2023-04-13T11:41:59","modified_gmt":"2023-04-13T09:41:59","slug":"20-abr-23","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/20-abr-23\/","title":{"rendered":"TAD de los polinomios: Coeficiente del t\u00e9rmino de grado k"},"content":{"rendered":"<p>Utilizando el <a href=\"https:\/\/bit.ly\/3KwqXYu\">tipo abstracto de datos de los polinomios<\/a> definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   coeficiente :: (Num a, Eq a) => Int -> Polinomio a -> a\n<\/pre>\n<p>tal que <code>coeficiente k p<\/code> es el coeficiente del t\u00e9rmino de grado <code>k<\/code> del polinomio <code>p<\/code>. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> ejPol = consPol 5 1 (consPol 2 5 (consPol 1 4 polCero))\n   \u03bb> ejPol\n   x^5 + 5*x^2 + 4*x\n   \u03bb> coeficiente 2 ejPol\n   5\n   \u03bb> coeficiente 3 ejPol\n   0\n<\/pre>\n<p><b>Soluciones<\/b><\/p>\n<p>A continuaci\u00f3n se muestran las <a href=\"#haskell\">soluciones en Haskell<\/a> y las <a href=\"#python\">soluciones en Python<\/a>.<\/p>\n<p><a name=\"haskell\"><\/a><br \/>\n<b>Soluciones en Haskell<\/b><\/p>\n<pre lang=\"haskell\">\nimport TAD.Polinomio (Polinomio, coefLider, grado, restoPol,\n                      consPol, polCero)\n\ncoeficiente :: (Num a, Eq a) => Int -> Polinomio a -> a\ncoeficiente k p | k == n                 = coefLider p\n                | k > grado (restoPol p) = 0\n                | otherwise              = coeficiente k (restoPol p)\n  where n = grado p\n<\/pre>\n<p><a name=\"python\"><\/a><br \/>\n<b>Soluciones en Python<\/b><\/p>\n<pre lang=\"python\">\nfrom typing import TypeVar\n\nfrom src.TAD.Polinomio import (Polinomio, coefLider, consPol, grado, polCero,\n                               restoPol)\n\nA = TypeVar('A', int, float, complex)\n\ndef coeficiente(k: int, p: Polinomio[A]) -> A:\n    if k == grado(p):\n        return coefLider(p)\n    if k > grado(restoPol(p)):\n        return 0\n    return coeficiente(k, restoPol(p))\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Utilizando el tipo abstracto de datos de los polinomios definir la funci\u00f3n coeficiente :: (Num a, Eq a) => Int -> Polinomio a -> a tal que coeficiente k p es el coeficiente del t\u00e9rmino de grado k del polinomio p. Por ejemplo, \u03bb> ejPol = consPol 5 1 (consPol 2 5 (consPol 1 4&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[581],"tags":[265],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8046"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/comments?post=8046"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8046\/revisions"}],"predecessor-version":[{"id":8047,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/8046\/revisions\/8047"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=8046"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=8046"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=8046"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}